Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques

Jérôme Allaire; Yves Lepage

Statistique et analyse des données (1990)

  • Volume: 15, Issue: 3, page 21-46
  • ISSN: 0750-7364

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Allaire, Jérôme, and Lepage, Yves. "Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques." Statistique et analyse des données 15.3 (1990): 21-46. <http://eudml.org/doc/108999>.

@article{Allaire1990,
author = {Allaire, Jérôme, Lepage, Yves},
journal = {Statistique et analyse des données},
language = {fre},
number = {3},
pages = {21-46},
publisher = {Association pour la statistique et ses illustrations},
title = {Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques},
url = {http://eudml.org/doc/108999},
volume = {15},
year = {1990},
}

TY - JOUR
AU - Allaire, Jérôme
AU - Lepage, Yves
TI - Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques
JO - Statistique et analyse des données
PY - 1990
PB - Association pour la statistique et ses illustrations
VL - 15
IS - 3
SP - 21
EP - 46
LA - fre
UR - http://eudml.org/doc/108999
ER -

References

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  1. Anderson, T. W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd Edition, John Wiley, New York. Zbl0083.14601MR771294
  2. Belcham, P. and Hymans, R. (1984). IAAF/ATFS Track and Field Statistics Handbook for the 1984 Los Angeles Olympic Games. International Amateur Athletic Federation, London. 
  3. Billingsley, P. (1968). Convergence of Probability Measures, John Wiley, New York. Zbl0944.60003MR233396
  4. Box, G.E.P. (1949). A General Distribution Theory for a Class of Likelihood Criteria, Biometrika, 36, 317-346. Zbl0035.09101MR33491
  5. Cléroux, R. and Ducharme, G.R. (1989). Vector Correlation for Elliptical Distributions, Communications in Statistics - Theory and Methods, 18,1441-1454. Zbl0696.62246MR1010114
  6. Cramer, E.M. and Nicewander, W.A. (1979). Some Symmetric, Invariant Measures of Multivariate Association, Psychometrika, 49,403-423. Zbl0419.62048MR529390
  7. Dawkins, B. (1989). Multivariate Analysis of National Track Records, The American Statistician, 43, 110-115. 
  8. Escoufier, Y. (1973). Le Traitement des Variables Vectorielles, Biometries 29,751-760. MR334416
  9. Graybill, F.A. (1983). Matrices with Applications in Statistics, Second Edition, Wadsworth, Belmont, California. Zbl0496.15002MR682581
  10. Hotelling, H. (1936). Relations Between Two Sets of Variables, Biometrika 28, 321-377. Imhof, P. ( 1961). Computing the Distribution of Quadratic Forms in Normal Variates, Biometrika, 48, 419-426. Zbl0015.40705
  11. Johnson, N.L. and Kotz, S. (1970). Continuous Univariate Distributions, volume 2, Hougton Mifflin, New York. Zbl0821.62001
  12. Koerts, J. and Abrahamse, A.P.J. (1969). On the Theory and Application of the General Linear Model, Rotterdam University Press, Rotterdam. Zbl0225.62081MR370947
  13. Lazraq, A. et Cléroux, R. (1988). Étude Comparative de Différentes Mesures de Liaison Entre Deux Vecteurs Aléatoires et Tests d'Indépendance, Statistique et Analyse des Données, 13, 15-18. MR984843
  14. Lazraq, A. and Cléroux, R. (1989). Tests of Homogeneity Between Coefficient of Multivariate Association in Elliptical Distributions, Thèse de Doctorat, Faculté des Études Supérieures, Université de Montréal. 
  15. Mathai, A.M. and Saxena, R.K. (1973). Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Lecture Note No 348, Springer-Verlag, New York. Zbl0272.33001MR463524
  16. Muirhead, RJ. (1982). Aspects of Multivariate Statistical Theory, John Wiley, New York. Zbl0556.62028MR652932
  17. Muirhead, RJ. and Waternaux, C.M. (1980). Asymptotic Distributions in Canonical Correlation Analysis and Other Multivariate Procedures for Non-Normal Populations, Biometrika, 67, 31-43. Zbl0448.62037MR570502
  18. Nagao, H. (1973). On Some Test Criteria for Covariance Matrix, Annals of Statistics, 1, 700-709. Zbl0263.62034MR339405
  19. Pillai, K.C.S. (1954). On Some Distribution Problems in Multivariate Analysis, Institute of Statistics, Mimeo. Series No. 88, University of North Caroline Chapel Hill. 
  20. Pillai, K.C.S. (1955). Some New Test Criteria in Multivariate Analysis, Annals of Mathematical Statistics, 26, 117-121. Zbl0064.13801MR67429
  21. Robert, P. and Escoufier, Y. (1976). A Unifying Tool for Linear Multivariate Statistical Methods: the RV-Coefficient, Applied Statistics, 25, 257-265. MR440801
  22. Serfling, RJ. (1980). Approximation Theorems of Mathematical Statistics, John Wiley, New York. Zbl1001.62005MR595165
  23. Stephens, M.A. (1974). EDF Statistics for Goodness of Fit and Some Comparisons, Journal of the American Statistical Association, 69,730-737. 
  24. Stewart, D. and Love, W. (1968). A General Canonical Correlation Index, Psychological Bulletin, 70, 160-163. 

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